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Finding the Fourth Proportional to 458,042.10, 686,741.22 and 201,753.03

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Solution

The fourth proportional to 458,042.10, 686,741.22 and 201,753.03 is: 302,487.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,042.10 : 686,741.22 = 201,753.03 : x
  2. Step 2: Convert to fraction form
    458,042.10/686,741.22 = 201,753.03/x
  3. Step 3: Cross multiply
    458,042.10x = 686,741.22 × 201,753.03
  4. Step 4: Simplify right side
    458,042.10x = 138,552,121,960.90
  5. Step 5: Solve for x
    x = 138,552,121,960.90/458,042.10
  6. Step 6: Final answer
    x = 302,487.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.